chore(api): add morgan request logging and types

apps/api/src/index.ts

@@ -3,6 +3,7 @@ import dotenv from 'dotenv';
 dotenv.config({ path: path.resolve(__dirname, '../../../.env') });
 import express from 'express';
 import cors from 'cors';
+import morgan from 'morgan';
 import authRouter from './auth';
 import mediaRouter from './media';
 import sttRouter from './stt';
@@ -16,6 +17,7 @@ app.use(cors({
   origin: 'http://localhost:5173',
   credentials: true
 }));
+app.use(morgan('dev'));
 app.use(express.json());
 
 // API routes